What is the Greatest Common Factor of 19656 and 19670?

Greatest common factor (GCF) of 19656 and 19670 is 14.

GCF(19656,19670) = 14

We will now calculate the prime factors of 19656 and 19670, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19656 and 19670.

How to find the GCF of 19656 and 19670?

We will first find the prime factorization of 19656 and 19670. After we will calculate the factors of 19656 and 19670 and find the biggest common factor number .

Step-1: Prime Factorization of 19656

Prime factors of 19656 are 2, 3, 7, 13. Prime factorization of 19656 in exponential form is:

19656 = 2³ × 3³ × 7¹ × 13¹

Step-2: Prime Factorization of 19670

Prime factors of 19670 are 2, 5, 7, 281. Prime factorization of 19670 in exponential form is:

19670 = 2¹ × 5¹ × 7¹ × 281¹

Step-3: Factors of 19656

List of positive integer factors of 19656 that divides 19656 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 13, 14, 18, 21, 24, 26, 27, 28, 36, 39, 42, 52, 54, 56, 63, 72, 78, 84, 91, 104, 108, 117, 126, 156, 168, 182, 189, 216, 234, 252, 273, 312, 351, 364, 378, 468, 504, 546, 702, 728, 756, 819, 936, 1092, 1404, 1512, 1638, 2184, 2457, 2808, 3276, 4914, 6552, 9828

Step-4: Factors of 19670

List of positive integer factors of 19670 that divides 19656 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 281, 562, 1405, 1967, 2810, 3934, 9835

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19656 and 19670. The biggest common factor number is the GCF number.
So the greatest common factor 19656 and 19670 is 14.

Also check out the Least Common Multiple of 19656 and 19670